Operator methods in wavelets, tilings, and frames : AMS Special Session Harmonic Analysis of Frames, Wavelets, and Tilings, April 13-14, 2013, Boulder, Colorado
著者
書誌事項
Operator methods in wavelets, tilings, and frames : AMS Special Session Harmonic Analysis of Frames, Wavelets, and Tilings, April 13-14, 2013, Boulder, Colorado
(Contemporary mathematics, v. 626)
American Mathematical Society, c2014
大学図書館所蔵 全27件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
Includes bibliographical references
内容説明・目次
内容説明
This volume contains the proceedings of the AMS Special Session on Harmonic Analysis of Frames, Wavelets, and Tilings, held April 13-14, 2013, in Boulder, Colorado, USA.
Frames were first introduced by Duffin and Schaeffer in 1952 in the context of nonharmonic Fourier series but have enjoyed widespread interest in recent years, particularly as a unifying concept. Indeed, mathematicians with backgrounds as diverse as classical and modern harmonic analysis, Banach space theory, operator algebras, and complex analysis have recently worked in frame theory. Frame theory appears in the context of wavelets, spectra and tilings, sampling theory, and more.
The papers in this volume touch on a wide variety of topics, including: convex geometry, direct integral decompositions, Beurling density, operator-valued measures, and splines. These varied topics arise naturally in the study of frames in finite and infinite dimensions. In nearly all of the papers, techniques from operator theory serve as crucial tools to solving problems in frame theory.
This volume will be of interest not only to researchers in frame theory but also to those in approximation theory, representation theory, functional analysis, and harmonic analysis.
目次
Phase retrieval by vectors and projections by P. G. Casazza and L. M. Woodland
Scalable frames and convex geometry by G. Kutyniok, K. A. Okoudjou, and F. Philipp
Dilations of frames, operator-valued measures and bounded linear maps by D. Han, D. R. Larson, B. Liu, and R. Liu
Images of the continuous wavelet transform by M. Ghandehari and K. F. Taylor
Decompositions of generalized wavelet representations by B. Currey, A. Mayeli, and V. Oussa
Exponential splines of complex order by P. Massopust
Local translations associated to spectral sets by D. E. Dutkay and J. Haussermann
Additive spectra of the ¼ Cantor measure by P. E. T. Jorgensen, K. A. Kornelson, and K. L. Shuman
Necessary density conditions for sampling and interpolation in de Branges spaces by S. al-Sa'di and E. Weber
Dynamical sampling in hybrid shift invariant spaces by R. Aceska and S. Tang
Dynamical sampling in infinite dimensions with and without a forcing term by J. Davis
「Nielsen BookData」 より